Least Common Multiple of 9989 and 9993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9989 and 9993 the smallest integer that is 99820077 that is divisible by both numbers.

Least Common Multiple (LCM) of 9989 and 9993 is 99820077.

LCM(9989,9993) = 99820077

LCM of 9989 and 9993

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9989 and 9993

LCM of 9989 and 9993 is 99820077

Least common multiple can be found by multiplying the highest exponent prime factors of 9989 and 9993. First we will calculate the prime factors of 9989 and 9993.

Prime Factorization of 9989


7 9989
1427 1427
1

Prime factors of 9989 are 7,1427. Prime factorization of 9989 in exponential form is:

9989 = 71×14271

Prime Factorization of 9993


3 9993
3331 3331
1

Prime factors of 9993 are 3,3331. Prime factorization of 9993 in exponential form is:

9993 = 31×33311

Now multiplying the highest exponent prime factors to calculate the LCM of 9989 and 9993.

LCM(9989,9993) = 31×71×14271×33311
LCM(9989,9993) = 99820077

Factors of 9989

List of positive integer factors of 9989 that divides 9989 without a remainder.

1, 7, 1427, 9989

Factors of 9993

List of positive integer factors of 9993 that divides 9993 without a remainder.

1, 3, 3331, 9993

Least Common Multiple of 9989 and 9993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9989 and 9993, than apply into the LCM equation.

GCF(9989,9993) = 1
LCM(9989,9993) = ( 9989 × 9993) / 1
LCM(9989,9993) = 99820077 / 1
LCM(9989,9993) = 99820077

Properties of LCM 9989 and 9993

(i) The LCM of 9993 and 9989 is associative

LCM of 9989 and 9993 = LCM of 9993 and 9989

Related Least Common Multiples of 9989

Related Least Common Multiples of 9993

Frequently Asked Questions on LCM of 9989 and 9993

1. What is the LCM of 9989 and 9993?

Answer: LCM of 9989 and 9993 is 99820077.

2. What are the Factors of 9989?

Answer: Factors of 9989 are 1, 7, 1427, 9989. There are 4 integers that are factors of 9989. The greatest factor of 9989 is 9989.

3. What are the Factors of 9993?

Answer: Factors of 9993 are 1, 3, 3331, 9993. There are 4 integers that are factors of 9993. The greatest factor of 9993 is 9993.

4. How to Find the LCM of 9989 and 9993?

Answer:

Least Common Multiple of 9989 and 9993 = 99820077

Step 1: Find the prime factorization of 9989

9989 = 7 x 1427

Step 2: Find the prime factorization of 9993

9993 = 3 x 3331

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 99820077 = 3 x 7 x 1427 x 3331

Step 4: Therefore, the least common multiple of 9989 and 9993 is 99820077.